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Proof step 69 from proof byte-law-righthift-not (previous step)

i2b(bits2int(sublist(0, # fillsgn(32, int2bits(128)), false ' + fillsgn(32, int2bits(128))))) = i2b(bits2uint(firstn(31, fillsgn(32, int2bits(~128))))), # int2bits(~128) < # int2bits(128), 32 < # int2bits(128), # int2bits(~128) ≤ 32 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [128] rotate: F spec: int2bits inst: name: int2bits-pos

Additional information

Used simplifier rules: 1 < i ⊦ uint2bits((* i)) = uint2bits(i / 2) + (i % 2 = 1);% ⊦ uint2bits(1) = false + true;% ⊦ boolvar + boolvar0 = boolvar ' + boolvar0 ';% ⊦ bits + boolvar = bits + boolvar ';% ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # boolvar ' = 0 +1;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: 128